Problem #10: Consider the following two elementary matrices. E1 = E2 = Suppose that A is a 2 x 2 matrix such that E2 E1 A =I. Find the matrix A. What is the value of a (i.e., the value in row 2, column 2 of the matrix A)? (A) 5 (B) 2 (C) 7 (D) 3 (E) 1 (F) 8 (G) 4 (H) 6

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.4: Determinants
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Problem #10: Consider the following two elementary matrices.
1
E1 =
E2=
1
Suppose that A is a 2 x 2 matrix such that E2 E1A =I2.
Find the matrix A. What is the value of a (i.e., the value in row 2, column 2 of the matrix A)?
(A) 5 (B) 2 (C) 7 (D) 3 (E) 1 (F) 8 (G) 4 (H) 6
Transcribed Image Text:Problem #10: Consider the following two elementary matrices. 1 E1 = E2= 1 Suppose that A is a 2 x 2 matrix such that E2 E1A =I2. Find the matrix A. What is the value of a (i.e., the value in row 2, column 2 of the matrix A)? (A) 5 (B) 2 (C) 7 (D) 3 (E) 1 (F) 8 (G) 4 (H) 6
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